5641589538816 has 960 divisors, whose sum is σ = 19817481600000. Its totient is φ = 1413469962240.

The previous prime is 5641589538803. The next prime is 5641589538829. The reversal of 5641589538816 is 6188359851465.

It is an interprime number because it is at equal distance from previous prime (5641589538803) and next prime (5641589538829).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5378063860 + ... + 5378064908.

It is an arithmetic number, because the mean of its divisors is an integer number (20643210000).

Almost surely, 2^{5641589538816} is an apocalyptic number.

5641589538816 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5641589538816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9908740800000).

5641589538816 is an abundant number, since it is smaller than the sum of its proper divisors (14175892061184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5641589538816 is a wasteful number, since it uses less digits than its factorization.

5641589538816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1101 counting only the distinct ones).

The product of its digits is 248832000, while the sum is 69.

The spelling of 5641589538816 in words is "five trillion, six hundred forty-one billion, five hundred eighty-nine million, five hundred thirty-eight thousand, eight hundred sixteen".